Fractions. Cavendish Community Primary School

Save this PDF as:

Size: px
Start display at page:

Download "Fractions. Cavendish Community Primary School"

Transcription

1 Fractions Children in the Foundation Stage should be introduced to the concept of halves and quarters through play and practical activities in preparation for calculation at Key Stage One. Y Understand that a fraction can describe part of a whole. Understand that a unit fraction represents one EQUAL part of a whole. Recognise, find and name a half as one of two EQUAL parts of an object, shape or quantity (including measure). Recognise, find and name a quarter as one of four EQUAL parts on a object, shape or quantity (including measure).

2 This can be formally recorded like this: The above image is an example of how the children may record. Any images presented to the children should always have EQUAL parts exactly.

3 Y2 Understand and use the terms numerator and denominator. Understand that a fraction can describe part of a set. Understand that the larger the denominator is, the more pieces it is split into and therefore the smaller each part will be. Recognise, find, name and write fractions:,, 2 and 3 of a length, shape, set of objects or quantity. Count on and back in steps of 2 and 4 Write simple fractions for example, 2 of 2 4 and 2. of 6 = 3 and recognise the equivalence This can be formally recorded with the symbols but it must be pictorially represented.

4 Challenge: Once children are secure with finding one quarter and one half of numbers and shapes children can find three quarters. This must be represented pictorially. The above image on the right is an example of how the children may record. Any images presented to the children (image on the left) should always have EQUAL parts exactly.

5 Y3 Show practically and pictorially that a fraction is one whole number divided by another e.g. 3 4 is 3 4 Understand that finding a fraction relates to division Recognise, find and write fractions of a discrete set of objects with small denominators Recognise that tenths arise from dividing an object into 0 equal parts and in dividing one-digit numbers or quantities by 0 Continue to count in steps of 2 and 4 and also count in steps of 3 Compare and order unit fractions and fractions with the same denominator Recognise and show, using diagrams, equivalent fractions with small denominators Add and subtract fractions with the same denominator within one whole using diagrams

6 Adding and subtracting fractions

7 Y4 Show practically and pictorially that a fraction is one whole number divided by another e.g. 3 4 is 3 4 Recognise, find and write fractions of a discrete set of objects with small denominators Recognise that hundredths arise from dividing an object into 00 equal parts and in dividing tenths by 0 Continue to count in steps of unit fractions Recognise and write decimal equivalents to quarter, half and three-quarters Add and subtract fractions with the same denominator within one whole using diagrams Continue to reinforce steps from Y3 throughout Y4. Y5 Add and subtract fractions with the same denominator and denominators that are multiples of the same number (using diagrams). Children should have had lots of practical experience of equivalence prior to this stage. Adding Unlike Fractions These have different denominators. Work out the sum below. Shade in one fifth of this shape. Now shade in another seven tenths. What have you got altogether?

8 Subtracting Step. The bottom numbers are different. See how the slices are different sizes? We need to make them the same before we can continue, because we can t subtract them like this: Step 2. Using our knowledge of equivalence, convert one half into sixths. So now we Have 3 sixths minus sixth = 6 Step 3. Simplify the fraction. 2 = 6 3

9 Write mathematical statements > as a mixed number. A mixed number is made up of a whole number and a fraction. Eg We say 3 and two fifths. This means As a picture this is 3 whole ones and 2 5 of one = 7 5 The mixed number is the same as the improper fraction 7 5 What is eight fifths as a mixed number?

10 Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams. Multiplying a Fraction by a Whole Number We know that multiply means `lots of` so 4 x 2 3 means 4 lots of 2 3 There are 8 thirds. 8 3 Now write this as a mixed number. 8 3 = 2 2 3

11 Y6 Adding and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions building on from Y Write down the number statement. 2. Add together the whole numbers, leaving the fractions at the end. 3. Write fractions with the same denominators so we can add them (using knowledge of equivalence). 4. Add the fractions. 5. If your fraction is improper, write it as a mixed number.. Write down the number statement. 2. Split the second fraction into a whole number and a fraction. Subtract them in turn. 3. First subtract the whole number. 4. Write the first fraction as an improper fraction so you can do it. 5. Write a common denominator. 6. Subtract. 7. Now finish off by writing as a mixed number.

12 Multiplying two fractions This is 4 of a circle. Remember that 3 x 4 means: 3 lots of 4 or 3 of 4 This is 3 of our 4 of a circle. This is 2 of our whole. 3 x 4 is the same as 3 of 4 3 x 4 = x 3 x 4 = 2

13 Dividing a proper fraction by a whole number using diagrams Dividing a fraction by a whole number This is 3 What does 3 2 mean? This is 3 2. What fraction is this part? It is 6 of the whole. 3 2 is the same as 2 of 3 3 of 2 = 2 of 3 = 2 x 3 = x 2 x 3 = 6

Number: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6

Pupils should begin to count in halves, using practical resources to support Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in count up and down

More information

count up and down in tenths count up and down in hundredths

Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in fractions up to 10, starting from any number and using the1/2 and 2/4 equivalence on the number

More information

Adults to use fraction vocabulary of halves, quarters, thirds etc when describing the number of groups).

DEVELOPING UNDERSTANDING OF FRACTIONS, DECIMALS AND PERCENTAGES Year NC Objectives Examples Models and Images EYFS Share objects, shapes and count how many are in each group (early division) Solve problems

More information

Number: Fractions (including Decimals and Percentages) Reasoning

Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 COUNTING IN FRACTIONAL STEPS Pupils should count in fractions up to 10, starting from any number and using the1/2 and 2/4 equivalence on the number line (Non Statutory

More information

Fractions. If the top and bottom numbers of a fraction are the same then you have a whole one.

What do fractions mean? Fractions Academic Skills Advice Look at the bottom of the fraction first this tells you how many pieces the shape (or number) has been cut into. Then look at the top of the fraction

More information

Decimal and Fraction Review Sheet

Decimal and Fraction Review Sheet Decimals -Addition To add 2 decimals, such as 3.25946 and 3.514253 we write them one over the other with the decimal point lined up like this 3.25946 +3.514253 If one

More information

+ = has become. has become. Maths in School. Fraction Calculations in School. by Kate Robinson

+ has become 0 Maths in School has become 0 Fraction Calculations in School by Kate Robinson Fractions Calculations in School Contents Introduction p. Simplifying fractions (cancelling down) p. Adding

More information

Calculation Policy Fractions

Calculation Policy Fractions This policy is to be used in conjunction with the calculation policy to enable children to become fluent in fractions and ready to calculate them by Year 5. It has been devised

More information

Calculation Policy for Year 5: Calshot Primary School

ADDITION Add numbers mentally with increasingly large numbers, e.g. 12,462 + 2300 = 14,762 Add 10, 100 and 1000 onto five-digit numbers Mentally add tenths and one-digit numbers and tenths Add decimals,

More information

Key. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voice-over

Key On screen content Narration voice-over Activity Under the Activities heading of the online program Introduction This topic will cover how to: identify and distinguish between proper fractions, improper

More information

Queens Federation Maths Calculation Policy

Queens Federation Maths Calculation Policy Draft v3b This document describes the progression in methods of calculation taught within the Queens Federation. It has been developed in line with the 2013 National

More information

Fractions to decimals

Worksheet.4 Fractions and Decimals Section Fractions to decimals The most common method of converting fractions to decimals is to use a calculator. A fraction represents a division so is another way of

More information

Numerator Denominator

Fractions A fraction is any part of a group, number or whole. Fractions are always written as Numerator Denominator A unitary fraction is one where the numerator is always 1 e.g 1 1 1 1 1...etc... 2 3

More information

Maths for Nurses: Fractions and Decimals

Maths for Nurses: Fractions and Decimals This booklet will provide an overview of the basic numeracy skills for Nursing students. If you have any problems in answering the questions within the booklet

More information

Topic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.

Year 1 (Age 5-6) Number and Place Value Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Count up to 10 and back (Age 5-6) Count up to 20 objects (Age 5-6)

More information

Motcombe and Milton on Stour Fractions progression Developed Spring Fractions Progression

Objectives/Activities Year R Key Vocabulary fair, sharing, the same, different, whole, equal, altogether, double, half. 1. Understanding fairness Finding equal and unequal groups. Realising when two groups

More information

Different types of fraction

N/E. Different types of fraction There are different types of fraction. Two types are unit fractions and non-unit fractions. Unit fractions Unit means one. Here are some examples of unit fractions: Can

More information

Accuplacer Arithmetic Study Guide

Testing Center Student Success Center Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole

More information

HOW TO ADD AND SUBTRACT MIXED NUMBERS

WHAT'S THAT MEAN...? HOW TO ADD AND SUBTRACT MIXED NUMBERS 8 2/3 1 1/4 5 TWO METHODS THAT WORK!! 1 Method 1: Use Improper Fractions What size parts are the circles cut into? How many yellow parts are on

More information

Section R.2. Fractions

Section R.2 Fractions Learning objectives Fraction properties of 0 and 1 Writing equivalent fractions Writing fractions in simplest form Multiplying and dividing fractions Adding and subtracting fractions

More information

Maths Area Approximate Learning objectives. Additive Reasoning 3 weeks Addition and subtraction. Number Sense 2 weeks Multiplication and division

Maths Area Approximate Learning objectives weeks Additive Reasoning 3 weeks Addition and subtraction add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar

More information

Maths Module 2. Working with Fractions. This module covers fraction concepts such as:

Maths Module Working with Fractions This module covers fraction concepts such as: identifying different types of fractions converting fractions addition and subtraction of fractions multiplication and

More information

Introduction to Fractions

Introduction to Fractions Fractions represent parts of a whole. The top part of a fraction is called the numerator, while the bottom part of a fraction is called the denominator. The denominator states

More information

Student Profile Name: Emergent to One to One Counting Date achieved

mergent to One to One Counting ledge Read The numerals 1 to 10 1 2 3 4 5 6 7 8 9 10 The numbers 1 to 10 forwards: 1 2 3 4 5 6 7 8 9 10 The numbers 10 to 1 backwards: 10 9 8 7 6 5 4 3 2 1 A Count The number

More information

Reception. Number and Place Value

Nursery Numbers and Place Value Recite numbers to 10 in order Count up to 10 objects Compare 2 groups of objects and say when they have the same number Select the correct numeral to represent 1-5 objects

More information

Improper Fractions and Mixed Numbers

This assignment includes practice problems covering a variety of mathematical concepts. Do NOT use a calculator in this assignment. The assignment will be collected on the first full day of class. All

More information

FRACTIONS 1 MANIPULATING FRACTIONS. the denominator represents the kind of pieces the whole has been divided into

CONNECT: Fractions FRACTIONS 1 MANIPULATING FRACTIONS Firstly, let s think about what a fraction is. 1. One way to look at a fraction is as part of a whole. Fractions consist of a numerator and a denominator:

More information

north seattle community college

INTRODUCTION TO FRACTIONS If we divide a whole number into equal parts we get a fraction: For example, this circle is divided into quarters. Three quarters, or, of the circle is shaded. DEFINITIONS: The

More information

I know when I have written a number backwards and can correct it when it is pointed out to me I can arrange numbers in order from 1 to 10

Mathematics Targets Moving from Level W and working towards level 1c I can count from 1 to 10 I know and write all my numbers to 10 I know when I have written a number backwards and can correct it when

More information

UNIT 1 VOCABULARY: RATIONAL AND IRRATIONAL NUMBERS

UNIT VOCABULARY: RATIONAL AND IRRATIONAL NUMBERS 0. How to read fractions? REMEMBER! TERMS OF A FRACTION Fractions are written in the form number b is not 0. The number a is called the numerator, and tells

More information

Paramedic Program Pre-Admission Mathematics Test Study Guide

Paramedic Program Pre-Admission Mathematics Test Study Guide 05/13 1 Table of Contents Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7 Page 8 Page 9 Page 10 Page 11 Page 12 Page 13 Page 14 Page 15 Page

More information

Preliminary Mathematics

Preliminary Mathematics The purpose of this document is to provide you with a refresher over some topics that will be essential for what we do in this class. We will begin with fractions, decimals, and

More information

Maths Workshop for Parents 2. Fractions and Algebra

Maths Workshop for Parents 2 Fractions and Algebra What is a fraction? A fraction is a part of a whole. There are two numbers to every fraction: 2 7 Numerator Denominator 2 7 This is a proper (or common)

More information

Fourth Grade Math Pacing Guide Columbus County Schools

Time Objective (2003 Curriculum) DPI Strategies (2003 Curriculum) 1-3 1.01 Develop number sense for rational numbers from.01 to at least 100,000 a. Connect model, number P. 38-39 D, F (1.02c) word, and

More information

RATIONAL NUMBERS CHAPTER

RATIONAL NUMBERS CHAPTER 70 CHAPTER RATIONAL NUMBERS Section. Recognizing, Reading, Writing and Simplifying Fractions What is a fraction? You have a circle. Cut it into two equal parts. Each part is called

More information

TYPES OF NUMBERS. Example 2. Example 1. Problems. Answers

TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have exactly two factors, namely, one and itself, are called prime

More information

Self-Directed Course: Transitional Math Module 2: Fractions

Lesson #1: Comparing Fractions Comparing fractions means finding out which fraction is larger or smaller than the other. To compare fractions, use the following inequality and equal signs: - greater than

More information

FRACTION REVIEW. 3 and. Any fraction can be changed into an equivalent fraction by multiplying both the numerator and denominator by the same number

FRACTION REVIEW A. INTRODUCTION. What is a fraction? A fraction consists of a numerator (part) on top of a denominator (total) separated by a horizontal line. For example, the fraction of the circle which

More information

Add and subtract 1-digit and 2-digit numbers to 20, including zero. Measure and begin to record length, mass, volume and time

Year 1 Maths - Key Objectives Count to and across 100 from any number Count, read and write numbers to 100 in numerals Read and write mathematical symbols: +, - and = Identify "one more" and "one less"

More information

Module 2: Working with Fractions and Mixed Numbers. 2.1 Review of Fractions. 1. Understand Fractions on a Number Line

Module : Working with Fractions and Mixed Numbers.1 Review of Fractions 1. Understand Fractions on a Number Line Fractions are used to represent quantities between the whole numbers on a number line. A

More information

DECIMAL REVIEW. 2. Change to a fraction Notice that =.791 The zero in front of the decimal place is not needed.

DECIMAL REVIEW A. INTRODUCTION TO THE DECIMAL SYSTEM The Decimal System is another way of expressing a part of a whole number. A decimal is simply a fraction with a denominator of 10, 100, 1 000 or 10

More information

Basic Math Principles

Chapter Basic Math Principles In this chapter, we will learn the following to World Class CAD standards: Create a Fraction Convert a Fraction to Lowest Terms Adding Fractions with a Common Denominator

More information

Maths Level Targets. This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5.

Maths Level Targets This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5. Expected National Curriculum levels for the end of each year group are: Year 1 Year 2 Year

More information

Unit purpose and aim. Externally assessed by OCR. Fractions, decimals and percentages Level: 1 Credit value: 3 Guided learning hours: 30

Externally assessed by OCR Unit Title: Fractions, decimals Level: Credit value: 3 Guided learning hours: 30 Unit reference number: D/504/6034 Unit purpose and aim On completion of this unit the learner

More information

Year 1 Maths Expectations

Times Tables I can count in 2 s, 5 s and 10 s from zero. Year 1 Maths Expectations Addition I know my number facts to 20. I can add in tens and ones using a structured number line. Subtraction I know all

More information

Numeracy Help Sheets. Kemnay Cluster

Numeracy Help Sheets Kemnay Cluster 0 Numeracy Help Sheets Representatives of each school in the Kemnay Cluster have put together the attached Numeracy Help sheets to ensure continuity of approach and

More information

Session 21 Fraction Addition and Subtraction and Mixed Number Notation

Session Fraction Addition and Subtraction and Mixed Number Notation Solve and compare the following two problems. Kim made one out of three free throws in a game and one out of four free throws in the

More information

Changing a Mixed Number to an Improper Fraction

Example: Write 48 4 48 4 = 48 8 4 8 = 8 8 = 2 8 2 = 4 in lowest terms. Find a number that divides evenly into both the numerator and denominator of the fraction. For the fraction on the left, there are

More information

Decimals and other fractions

Chapter 2 Decimals and other fractions How to deal with the bits and pieces When drugs come from the manufacturer they are in doses to suit most adult patients. However, many of your patients will be very

More information

Numeracy Preparation Guide. for the. VETASSESS Test for Certificate IV in Nursing (Enrolled / Division 2 Nursing) course

Numeracy Preparation Guide for the VETASSESS Test for Certificate IV in Nursing (Enrolled / Division Nursing) course Introduction The Nursing course selection (or entrance) test used by various Registered

More information

Fractions at Stage 7

Fractions at Stage 7 Finding Fractions Throw 2 dice and make a fraction, e.g. 4 and 5 could be 4 fifths of 5 quarters. Try and make a true statement each time the dice is thrown. Throw dice 0 times, Miss

More information

Fractions. Chapter 3. 3.1 Understanding fractions

Chapter Fractions This chapter will show you how to find equivalent fractions and write a fraction in its simplest form put fractions in order of size find a fraction of a quantity use improper fractions

More information

Calculations Policy. Introduction

Thousands Hundreds Tens Units Tenth Hundredth thousandth Calculations Policy Introduction This Calculations Policy has been designed to support teachers, teaching assistants and parents in the progression

More information

Repton Manor Primary School. Maths Targets

Repton Manor Primary School Maths Targets Which target is for my child? Every child at Repton Manor Primary School will have a Maths Target, which they will keep in their Maths Book. The teachers work

More information

INTRODUCTION TO FRACTIONS

Tallahassee Community College 16 INTRODUCTION TO FRACTIONS Figure A (Use for 1 5) 1. How many parts are there in this circle?. How many parts of the circle are shaded?. What fractional part of the circle

More information

made up of 2 parts, a Saying a 3 To say or write a 7 - seven eighths 8

Day 1 Fractions Obj: To learn how to write fractions, define,and classify fractions Def Fraction Numerator Denominator Fraction part of a whole; made up of 2 parts, a numerator and denominator. The denominator

More information

Unit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.

Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L-34) is a summary BLM for the material

More information

PROBLEM SOLVING, REASONING, FLUENCY. Year 6 Term 1 Term 2 Term 3 Term 4 Term 5 Term 6 Number and Place Value. Measurement Four operations

PROBLEM SOLVING, REASONING, FLUENCY Year 6 Term 1 Term 2 Term 3 Term 4 Term 5 Term 6 Number and Place Value Addition and subtraction Large numbers Fractions & decimals Mental and written Word problems,

More information

GRADE 3 OVERALL EXPECTATIONS. Subject: Mathematics

GRADE 3 OVERALL EXPECTATIONS Subject: Mathematics The mathematics expectations are arranged in five interwoven strands of knowledge: number, data handling, shape and space, pattern and function and measurement.

More information

CALCULATION POLICY NEW CURRICULUM 2014 MENTAL AND WRITTEN CALCULATIONS

CALCULATION POLICY NEW CURRICULUM 2014 MENTAL AND WRITTEN CALCULATIONS 1 This policy outlines both the mental and written methods that should be taught from Year 1 to Year 6. The policy has been written

More information

Maths Refresher. Working with Fractions

Maths Refresher Working with Fractions Working with fractions Learning intentions. Become familiar with fractions Equivalent fractions Converting mixed numbers to improper fractions Converting improper

More information

Fraction Basics. 1. Identify the numerator and denominator of a

. Fraction Basics. OBJECTIVES 1. Identify the numerator and denominator of a fraction. Use fractions to name parts of a whole. Identify proper fractions. Write improper fractions as mixed numbers. Write

More information

UNIT 5 AUTUMN. second half. Fractions. Fractions and whole numbers. Decimals. Common fractions and decimals. Percentages. Equivalent fractions PART 3

PART AUTUMN second half FRACTIONS, DECIMALS AND PERCENTAGES SECTION Fractions SECTION Fractions and whole numbers SECTION Decimals SECTION Common fractions and decimals SECTION Percentages SECTION Equivalent

More information

PUTTERIDGE PRIMARY SCHOOL

Calculations policy Version 3 PUTTERIDGE PRIMARY SCHOOL Autumn 2015 Authored by: Rob Weightman Written Methods& Mental Methods & A D D I T I O N FOUNDATION STAGE YEAR 1 YEAR 2 Count with 1:1 correspondence

More information

All the examples in this worksheet and all the answers to questions are available as answer sheets or videos.

BIRKBECK MATHS SUPPORT www.mathsupport.wordpress.com Numbers 3 In this section we will look at - improper fractions and mixed fractions - multiplying and dividing fractions - what decimals mean and exponents

More information

Unit 11 Fractions and decimals

Unit 11 Fractions and decimals Five daily lessons Year 4 Spring term (Key objectives in bold) Unit Objectives Year 4 Use fraction notation. Recognise simple fractions that are Page several parts of a whole;

More information

UNIT 9 OPERATIONS WITH DECIMALS

UNIT 9 OPERATIONS WITH DECIMALS INTRODUCTION In this Unit, we will use our understanding of operations, decimals, and place value to perform operations with decimals. The table below shows the learning

More information

Fraction Vocabulary. It is important that vocabulary terms are taught to students.

Rational Numbers Fractions Decimals Percents It is important for students to know how these 3 concepts relate to each other and how they can be interchanged. Fraction Vocabulary It is important that vocabulary

More information

There are eight lessons in this unit, Number 4. The objectives covered in this unit are:

Number 4 contents There are eight lessons in this unit, Number 4. N4.1 Multiplying and dividing decimals by 10 or 100 3 N4.2 Equivalence of fractions 6 N4.3 Comparing fractions 9 N4.4 Fractions and percentages

More information

Round decimals to the nearest whole number

Round decimals to the nearest whole number Learning Objective Simplifying Fractions Simplified Fractions To simplify a fraction, we find an equivalent fraction which uses the smallest numbers possible.

More information

Adding Fractions. Adapted from MathisFun.com

Adding Fractions Adapted from MathisFun.com There are 3 Simple Steps to add fractions: Step 1: Make sure the bottom numbers (the denominators) are the same Step 2: Add the top numbers (the numerators).

More information

Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how

More information

Instant Recall Mission. Name. Log Book

Instant Recall Mission Name Log Book 1.1 Recites numbers in order to 10 1.2 Recognises numerals 1 to 5 1.3 Counts up to three or four objects by saying one number name for each of them 1.4 Counts out up

More information

Year 2 Maths Objectives

Year 2 Maths Objectives Counting Number - number and place value Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward Place Value Comparing and Ordering Read and write

More information

Multiplying Decimal Numbers by 10, by 100, and by 1000

Multiplying Decimal Numbers by 10, by 100, and by 1000 Lesson 111 111 To multiply by 10, shift the decimal to the right one place. To multiply by 100, shift the decimal to the right two places. To multiply

More information

a) b) -4 + ( -5) c) d) 2 - ( -2) f)

CLASS VII New Integers A 1. The integer consist of, and numbers 2. The numbers less than zero are called integer. 3. All the numbers which are less than zero have sign. 4. Zero is greater than integer.

More information

Year Five Maths Notes

Year Five Maths Notes NUMBER AND PLACE VALUE I can count forwards in steps of powers of 10 for any given number up to 1,000,000. I can count backwards insteps of powers of 10 for any given number up to

More information

Rational Number Project

Rational Number Project Fraction Operations and Initial Decimal Ideas Lesson : Overview Students estimate sums and differences using mental images of the 0 x 0 grid. Students develop strategies for adding

More information

Summary Of Mental Maths Targets EYFS Yr 6. Year 3. Count from 0 in multiples of 4 & 8, 50 & 100. Count back in 100s, 10s, 1s eg.

Autumn 1 Say the number names in order to 10. Read and write from 1 to 20 in numerals and words. Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward. Count from 0 in

More information

Pre-Algebra Lecture 6

Pre-Algebra Lecture 6 Today we will discuss Decimals and Percentages. Outline: 1. Decimals 2. Ordering Decimals 3. Rounding Decimals 4. Adding and subtracting Decimals 5. Multiplying and Dividing Decimals

More information

ARITHMETIC. Overview. Testing Tips

ARITHMETIC Overview The Arithmetic section of ACCUPLACER contains 17 multiple choice questions that measure your ability to complete basic arithmetic operations and to solve problems that test fundamental

More information

HFCC Math Lab Arithmetic - 4. Addition, Subtraction, Multiplication and Division of Mixed Numbers

HFCC Math Lab Arithmetic - Addition, Subtraction, Multiplication and Division of Mixed Numbers Part I: Addition and Subtraction of Mixed Numbers There are two ways of adding and subtracting mixed numbers.

More information

3. ROUNDING OFF DECIMAL NUMBERS TO THE NEAREST TENTH

3. ROUNDING OFF DECIMAL NUMBERS TO THE NEAREST TENTH Material: Decimal Board and materials Small gold circle Prepared problems Paper and pencil Presentation: 1. Form a number on the board with discs: 0.68.

More information

Securing number facts, calculating, identifying relationships

1 of 19 The National Strategies Primary Year 4 Block E: Three 3-week units Securing number facts, calculating, identifying relationships Tables 10 10; multiples Written methods: TU U; TU U; rounding remainders

More information

Math News! 5 th Grade Math

Math News! Grade 5, Module 1, Topic A 5 th Grade Math Module 1: Place Value and Decimal Fractions Math Parent Letter This document is created to give parents and students a better understanding of the

More information

Five daily lessons. Page 23. Page 25. Page 29. Pages 31

Unit 4 Fractions and decimals Five daily lessons Year 5 Spring term Unit Objectives Year 5 Order a set of fractions, such as 2, 2¾, 1¾, 1½, and position them on a number line. Relate fractions to division

More information

Year 1 maths expectations (New Curriculum)

Year 1 maths expectations Counts to and across 100, forwards and backwards, beginning with 0 or one, or from any given number Counts, reads and writes numbers to 100 in numerals; counts in multiples of

More information

OPERATIONS: x and. x 10 10

CONNECT: Decimals OPERATIONS: x and To be able to perform the usual operations (+,, x and ) using decimals, we need to remember what decimals are. To review this, please refer to CONNECT: Fractions Fractions

More information

3.3 Addition and Subtraction of Rational Numbers

3.3 Addition and Subtraction of Rational Numbers In this section we consider addition and subtraction of both fractions and decimals. We start with addition and subtraction of fractions with the same denominator.

More information

Decimal Notations for Fractions Number and Operations Fractions /4.NF

Decimal Notations for Fractions Number and Operations Fractions /4.NF Domain: Cluster: Standard: 4.NF Number and Operations Fractions Understand decimal notation for fractions, and compare decimal fractions.

More information

Fraction Tools. Martin Kindt & Truus Dekker. ------------ 3n 4 -----

Fraction Tools - + - 0 - n + n Martin Kindt & Truus Dekker 0 Section A Comparing Fractions - Parts and pieces (). Of each figure, color part. Be as precise as possible.. Of each figure, color part. Each

More information

Year 5. Pupils should identify the place value in large whole numbers.

Year 5 Year 5 programme of study (statutory requirements) Number, place value, approximation and estimation Number, place value, approximation and estimation Pupils should identify the place value in large

More information

Associative Property The property that states that the way addends are grouped or factors are grouped does not change the sum or the product.

addend A number that is added to another in an addition problem. 2 + 3 = 5 The addends are 2 and 3. area The number of square units needed to cover a surface. area = 9 square units array An arrangement

More information

Maths Vocabulary Support Booklet

Maths Vocabulary Support Booklet The aim of this booklet is to help parents to understand and use the technical maths vocabulary accurately and confidently so you can help your children to do the same.

More information

parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE

TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE FIVE 5 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does

More information

*Converting Fractions to Decimals

*Converting Fractions to Decimals In this task, students will convert fractions to decimals. Back to task table STANDARDS FOR MATHEMATICAL CONTENT MGSE7.NS.2 Apply and extend previous understandings of

More information

Appendix A: 20 Items and Their Associated 80 Solution Strategies, Proportion Correct Scores, Proportion of Students Selecting the Solution Strategies

Appendix A: 20 Items and Their Associated 80 Solution Strategies, Correct Scores, of Students Selecting the Solution Strategies Table A1. Math Test Items with Associated Strategies and Summaries of Student

More information

Level Descriptors Maths Level 1-5

Level Descriptors Maths Level 1-5 What is APP? Student Attainment Level Descriptors APP means Assessing Pupil Progress. What are the APP sheets? We assess the children in Reading, Writing, Speaking & Listening,

More information

Adding and Subtracting Mixed Numbers and Improper Fractions

Just like our counting numbers (1, 2, 3, ), fractions can also be added and subtracted. When counting improper fractions and mixed numbers, we are counting the number wholes and parts. Note: The rules

More information

Make the denominators the same, convert the numerators by multiplying, then add the numerators.

Experience & Outcome: MNU 2-07a I have investigated the everyday contexts in which simple fractions, percentages or decimal fractions are used and can carry out the necessary calculations to solve related

More information